Finite Group Databasebeta

← Group #13157124

Character table — Group #13157124

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112444448888888161616161818181836363636727272112444448888888161616161818181836363636727272112444448888888161616161818181836363636727272
order124336684121224242424121212122488161616164883612336624121212242424241212121261224244848484812242436123366241212122424242412121212612242448484848122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11-1-111111111111111111111111-1-1-1-11-1-111111111111111111111111-1-1-1-11-1-1
χ31111111111111111111-1-1-1-1ii−i−i-1i−i1111111111111111111-1-1-1-1ii−i−i-1i−i1111111111111111111-1-1-1-1ii−i−i-1i−i
χ41111111111111111111-1-1-1-1−i−iii-1−ii1111111111111111111-1-1-1-1−i−iii-1−ii1111111111111111111-1-1-1-1−i−iii-1−ii
χ511111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-1
χ611111111-1111111-1-1-1-11111-1-1-1-1-11111111111-1111111-1-1-1-11111-1-1-1-1-11111111111-1111111-1-1-1-11111-1-1-1-1-111
χ711111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii11111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii11111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii
χ811111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i11111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i11111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i
χ92222222-2022-2-2-2-2000022-2-200000002222222-2022-2-2-2-2000022-2-200000002222222-2022-2-2-2-2000022-2-20000000
χ102222222-2022-2-2-2-20000-2-22200000002222222-2022-2-2-2-20000-2-22200000002222222-2022-2-2-2-20000-2-2220000000
χ1122-2222200-2-2000000002-200i2−i2i2−i200022-2222200-2-2000000002-200i2−i2i2−i200022-2222200-2-2000000002-200i2−i2i2−i2000
χ1222-2222200-2-2000000002-200−i2i2−i2i200022-2222200-2-2000000002-200−i2i2−i2i200022-2222200-2-2000000002-200−i2i2−i2i2000
χ1322-2222200-2-200000000-22002−2−2200022-2222200-2-200000000-22002−2−2200022-2222200-2-200000000-22002−2−22000
χ1422-2222200-2-200000000-2200−222−200022-2222200-2-200000000-2200−222−200022-2222200-2-200000000-2200−222−2000
χ154441-21-2441-211-2-211-2-2000000000004441-21-2441-211-2-211-2-2000000000004441-21-2441-211-2-211-2-200000000000
χ164441-21-24-41-211-2-2-1-122000000000004441-21-24-41-211-2-2-1-122000000000004441-21-24-41-211-2-2-1-12200000000000
χ174441-21-2-401-2-1-1223-300000000000004441-21-2-401-2-1-1223-300000000000004441-21-2-401-2-1-1223-30000000000000
χ184441-21-2-401-2-1-122-3300000000000004441-21-2-401-2-1-122-3300000000000004441-21-2-401-2-1-122-330000000000000
χ19444-21-2144-21-2-211-2-21100000000000444-21-2144-21-2-211-2-21100000000000444-21-2144-21-2-211-2-21100000000000
χ20444-21-214-4-21-2-21122-1-100000000000444-21-214-4-21-2-21122-1-100000000000444-21-214-4-21-2-21122-1-100000000000
χ21444-21-21-40-2122-1-1003-300000000000444-21-21-40-2122-1-1003-300000000000444-21-21-40-2122-1-1003-300000000000
χ22444-21-21-40-2122-1-100-3300000000000444-21-21-40-2122-1-100-3300000000000444-21-21-40-2122-1-100-3300000000000
χ234-4044-4-40000000000000022−2200000004-4044-4-40000000000000022−2200000004-4044-4-40000000000000022−220000000
χ244-4044-4-400000000000000−222200000004-4044-4-400000000000000−222200000004-4044-4-400000000000000−22220000000
χ2588-82-42-400-24000000000000000000088-82-42-400-24000000000000000000088-82-42-400-240000000000000000000
χ2688-8-42-42004-2000000000000000000088-8-42-42004-2000000000000000000088-8-42-42004-20000000000000000000
χ278-802-4-24000032−32000000000000000008-802-4-24000032−32000000000000000008-802-4-24000032−3200000000000000000
χ288-802-4-240000−3232000000000000000008-802-4-240000−3232000000000000000008-802-4-240000−323200000000000000000
χ298-80-424-200000032−320000000000000008-80-424-200000032−320000000000000008-80-424-200000032−32000000000000000
χ308-80-424-2000000−32320000000000000008-80-424-2000000−32320000000000000008-80-424-2000000−3232000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111111111111-1-1-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32
χ331111111111111111111-1-1-1-1ii−i−i-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22
χ341111111111111111111-1-1-1-1−i−iii-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22
χ3511111111-1111111-1-1-1-111111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ3611111111-1111111-1-1-1-11111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3711111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22
χ3811111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22
χ392222222-2022-2-2-2-2000022-2-20000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i30−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i30−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000000
χ402222222-2022-2-2-2-20000-2-2220000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i30−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i30000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i30−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i30000000
χ4122-2222200-2-2000000002-200i2−i2i2−i2000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i300000000−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i300000000−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000
χ4222-2222200-2-2000000002-200−i2i2−i2i2000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i300000000−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i300000000−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000
χ4322-2222200-2-200000000-22002−2−22000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000
χ4422-2222200-2-200000000-2200−222−2000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000
χ454441-21-2441-211-2-211-2-200000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i300000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i300000000000
χ464441-21-24-41-211-2-2-1-12200000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i32−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i300000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i32+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i300000000000
χ474441-21-2-401-2-1-1223-30000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i32−2i30−1+i321−i31−i321−i32−1+i3−1+i3−3+3i323−3i320000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i32+2i30−1−i321+i31+i321+i32−1−i3−1−i3−3−3i323+3i320000000000000
χ484441-21-2-401-2-1-122-330000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i32−2i30−1+i321−i31−i321−i32−1+i3−1+i33−3i32−3+3i320000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i32+2i30−1−i321+i31+i321+i32−1−i3−1−i33+3i32−3−3i320000000000000
χ49444-21-2144-21-2-211-2-21100000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000000
χ50444-21-214-4-21-2-21122-1-100000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i32−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i3200000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i32+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i3200000000000
χ51444-21-21-40-2122-1-1003-300000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i322−2i301−i3−1+i32−1+i3−1+i31−i321−i3200−3+3i323−3i3200000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i322+2i301+i3−1−i32−1−i3−1−i31+i321+i3200−3−3i323+3i3200000000000
χ52444-21-21-40-2122-1-100-3300000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i322−2i301−i3−1+i32−1+i3−1+i31−i321−i32003−3i32−3+3i3200000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i322+2i301+i3−1−i32−1−i3−1−i31+i321+i32003+3i32−3−3i3200000000000
χ534-4044-4-40000000000000022−220000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000000002ζ5−2ζ23−2ζ5+2ζ230000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i300000000000000−2ζ7+2ζ132ζ7−2ζ130000000
χ544-4044-4-400000000000000−22220000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i300000000000000−2ζ5+2ζ232ζ5−2ζ230000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000000002ζ7−2ζ13−2ζ7+2ζ130000000
χ5588-82-42-400-240000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i3−1+i32−2i3001−i3−2+2i30000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i3−1−i32+2i3001+i3−2−2i30000000000000000000
χ5688-8-42-42004-20000000000000000000−4+4i3−4+4i34−4i32−2i3−1+i32−2i3−1+i300−2+2i31−i30000000000000000000−4−4i3−4−4i34+4i32+2i3−1−i32+2i3−1−i300−2−2i31+i30000000000000000000
χ578-802-4-24000032−3200000000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i300003ζ5−3ζ23−3ζ5+3ζ2300000000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i30000−3ζ7+3ζ133ζ7−3ζ1300000000000000000
χ588-802-4-240000−323200000000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i30000−3ζ5+3ζ233ζ5−3ζ2300000000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i300003ζ7−3ζ13−3ζ7+3ζ1300000000000000000
χ598-80-424-200000032−32000000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i30000003ζ5−3ζ23−3ζ5+3ζ23000000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i3000000−3ζ7+3ζ133ζ7−3ζ13000000000000000
χ608-80-424-2000000−3232000000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i3000000−3ζ5+3ζ233ζ5−3ζ23000000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i30000003ζ7−3ζ13−3ζ7+3ζ13000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6211111111111111111111111-1-1-1-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32
χ631111111111111111111-1-1-1-1ii−i−i-1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14
χ641111111111111111111-1-1-1-1−i−iii-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14
χ6511111111-1111111-1-1-1-111111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ6611111111-1111111-1-1-1-11111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6711111111-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14
χ6811111111-1111111-1-1-1-1-1-1-1-1−i−iii1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14
χ692222222-2022-2-2-2-2000022-2-20000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i30−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i30−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000000
χ702222222-2022-2-2-2-20000-2-2220000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i30−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i30000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i30−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i30000000
χ7122-2222200-2-2000000002-200i2−i2i2−i2000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i300000000−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i300000000−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000
χ7222-2222200-2-2000000002-200−i2i2−i2i2000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i300000000−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i300000000−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000
χ7322-2222200-2-200000000-22002−2−22000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000
χ7422-2222200-2-200000000-2200−222−2000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000
χ754441-21-2441-211-2-211-2-200000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i300000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i300000000000
χ764441-21-24-41-211-2-2-1-12200000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i32+2i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i300000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i32−2i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i300000000000
χ774441-21-2-401-2-1-1223-30000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i32+2i30−1−i321+i31+i321+i32−1−i3−1−i3−3−3i323+3i320000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i32−2i30−1+i321−i31−i321−i32−1+i3−1+i3−3+3i323−3i320000000000000
χ784441-21-2-401-2-1-122-330000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i32+2i30−1−i321+i31+i321+i32−1−i3−1−i33+3i32−3−3i320000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i32−2i30−1+i321−i31−i321−i32−1+i3−1+i33−3i32−3+3i320000000000000
χ79444-21-2144-21-2-211-2-21100000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i3200000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i3200000000000
χ80444-21-214-4-21-2-21122-1-100000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−2−2i32+2i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i3200000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i32−2i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i3200000000000
χ81444-21-21-40-2122-1-1003-300000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i322+2i301+i3−1−i32−1−i3−1−i31+i321+i3200−3−3i323+3i3200000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i322−2i301−i3−1+i32−1+i3−1+i31−i321−i3200−3+3i323−3i3200000000000
χ82444-21-21-40-2122-1-100-3300000000000−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i322+2i301+i3−1−i32−1−i3−1−i31+i321+i32003+3i32−3−3i3200000000000−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i322−2i301−i3−1+i32−1+i3−1+i31−i321−i32003−3i32−3+3i3200000000000
χ834-4044-4-40000000000000022−220000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i300000000000000−2ζ7+2ζ132ζ7−2ζ130000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i3000000000000002ζ5−2ζ23−2ζ5+2ζ230000000
χ844-4044-4-400000000000000−22220000000−2−2i32+2i30−2−2i3−2−2i32+2i32+2i3000000000000002ζ7−2ζ13−2ζ7+2ζ130000000−2+2i32−2i30−2+2i3−2+2i32−2i32−2i300000000000000−2ζ5+2ζ232ζ5−2ζ230000000
χ8588-82-42-400-240000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i3−1−i32+2i3001+i3−2−2i30000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i3−1+i32−2i3001−i3−2+2i30000000000000000000
χ8688-8-42-42004-20000000000000000000−4−4i3−4−4i34+4i32+2i3−1−i32+2i3−1−i300−2−2i31+i30000000000000000000−4+4i3−4+4i34−4i32−2i3−1+i32−2i3−1+i300−2+2i31−i30000000000000000000
χ878-802-4-24000032−3200000000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i30000−3ζ7+3ζ133ζ7−3ζ1300000000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i300003ζ5−3ζ23−3ζ5+3ζ2300000000000000000
χ888-802-4-240000−323200000000000000000−4−4i34+4i30−1−i32+2i31+i3−2−2i300003ζ7−3ζ13−3ζ7+3ζ1300000000000000000−4+4i34−4i30−1+i32−2i31−i3−2+2i30000−3ζ5+3ζ233ζ5−3ζ2300000000000000000
χ898-80-424-200000032−32000000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i3000000−3ζ7+3ζ133ζ7−3ζ13000000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i30000003ζ5−3ζ23−3ζ5+3ζ23000000000000000
χ908-80-424-2000000−3232000000000000000−4−4i34+4i302+2i3−1−i3−2−2i31+i30000003ζ7−3ζ13−3ζ7+3ζ13000000000000000−4+4i34−4i302−2i3−1+i3−2+2i31−i3000000−3ζ5+3ζ233ζ5−3ζ23000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.